The hyper-order of solutions of certain linear complex differential equations
Volume 97 / 2010
Annales Polonici Mathematici 97 (2010), 273-284
MSC: Primary 30D35.
DOI: 10.4064/ap97-3-6
Abstract
We prove some theorems on the hyper-order of solutions of the equation $f^{(k)}-e^{Q}f=a(1-e^{Q})$, where $Q$ is an entire function, which is a polynomial or not, and $a$ is an entire function whose order can be larger than 1. We improve some results by J. Wang and X. M. Li.
